Search a number
-
+
116190864 = 24326712043
BaseRepresentation
bin1101110110011…
…10111010010000
322002122002220100
412323032322100
5214221101424
615310212400
72610414606
oct673167220
9262562810
10116190864
115a64aa09
1232ab4100
131b0c21ba
1411607876
15a301dc9
hex6ecee90

116190864 has 60 divisors (see below), whose sum is σ = 330053776. Its totient is φ = 38149056.

The previous prime is 116190863. The next prime is 116190881. The reversal of 116190864 is 468091611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (116190863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3627 + ... + 15669.

Almost surely, 2116190864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116190864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165026888).

116190864 is an abundant number, since it is smaller than the sum of its proper divisors (213862912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116190864 is a wasteful number, since it uses less digits than its factorization.

116190864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12124 (or 12115 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 116190864 is about 10779.1866112430. The cubic root of 116190864 is about 487.9672333101.

The spelling of 116190864 in words is "one hundred sixteen million, one hundred ninety thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2412 3216 4824 9648 12043 24086 36129 48172 72258 96344 108387 144516 192688 216774 289032 433548 578064 806881 867096 1613762 1734192 2420643 3227524 4841286 6455048 7261929 9682572 12910096 14523858 19365144 29047716 38730288 58095432 116190864